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Reorientation of a hexagonal pattern under broken symmetry : The hexagon flip

Title data

Groh, Christopher ; Richter, Reinhard ; Rehberg, Ingo ; Busse, Friedrich H.:
Reorientation of a hexagonal pattern under broken symmetry : The hexagon flip.
In: Physical Review E. Vol. 76 (2007) Issue 5 . - 055301(R).
ISSN 1550-2376
DOI: https://doi.org/10.1103/PhysRevE.76.055301

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Abstract in another language

An unexpected pattern transition has been found experimentally in the transformation from hexagons to stripes caused by an applied anisotropy effect. The particular system studied is the surface instability of a horizontal layer of magnetic liquid in a tilted magnetic field. Two orthogonal Helmholtz pairs of coils provide a vertical and a tangential magnetic field. Whereas the vertical component destabilizes the flat layer, the tangential one preserves its stability. The ensuing surface patterns comprise regular hexagons, anisotropic hexagons, and stripelike ridges. The phase diagram for the tilted field instability is measured using a radioscopic technique. The investigation reveals an interesting effect: the flip from one hexagonal pattern to another under an increasing tangential field component, which is explained in terms of amplitude equations as a saddle-node bifurcation.

Further data

Item Type: Article in a journal
Refereed: Yes
Keywords: Magnetic fluids and ferrofluids; Pattern selection, pattern formation; Buoyancy-driven flows, convection
Institutions of the University: Faculties
Faculties > Faculty of Mathematics, Physics und Computer Science
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Chair Experimental Physics V
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Chair Experimental Physics V - Univ.-Prof. Dr. Ingo Rehberg
Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Physics > Former Professors > Lehrstuhl Theoretische Physik IV - Univ.-Prof. Dr. Friedrich H. Busse
Profile Fields
Profile Fields > Advanced Fields
Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT: Yes
DDC Subjects: 500 Science > 530 Physics
Date Deposited: 27 Sep 2018 07:45
Last Modified: 21 Nov 2023 13:58
URI: https://eref.uni-bayreuth.de/id/eprint/42955